Details

Time bar (total: 16.9s)

sample90.0ms

Algorithm
intervals
Results
41.0ms749×body80nan
16.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done16
216
112
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
20×sqrt-prod
7×associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp difference-of-squares
4×pow1 sqrt-div distribute-lft-out
3×associate-/r* insert-posit16 div-inv
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 flip3-+ distribute-rgt-out pow1/2 div-exp frac-add flip-+
Counts
3 → 81
Calls
3 calls:
11.0ms
(sqrt (- 1.0 (* x x)))
34.0ms
(/ (sqrt (- 1.0 (* x x))) x)
51.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series779.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(sqrt (- 1.0 (* x x)))
178.0ms
(/ (sqrt (- 1.0 (* x x))) x)
506.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify6.7s

Counts
90 → 90
Iterations
IterNodes
done5001
34867
21207
1396
0178

prune856.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(+ 1.0 (sqrt (- 1.0 (* x x))))
0.0b
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×*-un-lft-identity
13×associate-*l*
12×add-exp-log add-cube-cbrt
11×times-frac
8×add-cbrt-cube
6×pow1
5×add-log-exp
4×associate-*r* prod-exp sqrt-prod
3×flip3-+ flip-+ insert-posit16 unswap-sqr
2×frac-times sqrt-div div-exp associate-*r/ cbrt-unprod distribute-lft-out
1×distribute-rgt-in cbrt-undiv +-commutative rem-sqrt-square rec-exp sum-log distribute-lft-in sqrt-pow1 flip3-- pow1/2 1-exp pow-prod-down associate-*l/ *-commutative div-inv flip-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
14.0ms
(sqrt (- 1.0 (* x x)))
32.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
113.0ms
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

series366.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(sqrt (- 1.0 (* x x)))
80.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
181.0ms
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

simplify3.6s

Counts
82 → 82
Iterations
IterNodes
done5002
21720
1524
0175

prune696.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.0s24333×body80nan
709.0ms8000×body80valid